On the solvability of anti-periodic boundary value problems with impulses
In this paper, we are concerned with the existence of solutions for second order impulsive anti-periodic boundary value problem ${ \left \{\begin{array} {l} u''(t) + f(t,u(t),u'(t))=0, \quad t \not= t_k, \ t \in [0, T], \\ \triangle u(t_k) = I_k(u(t_k)), \quad k = 1, \cdots , m,...
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| Format: | Article |
| Language: | English |
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University of Szeged
2009-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=364 |
| Summary: | In this paper, we are concerned with the existence of solutions for second order impulsive anti-periodic boundary value problem
${ \left \{\begin{array} {l}
u''(t) + f(t,u(t),u'(t))=0, \quad t \not= t_k, \ t \in [0, T], \\
\triangle u(t_k) = I_k(u(t_k)), \quad k = 1, \cdots , m, \\
\triangle u'(t_k) = I_k^*(u(t_k)), \quad k = 1, \cdots , m, \\
u(0) + u(T) = 0, \ u'(0) + u'(T) = 0.
\end{array}\right.} $
New criteria are established based on Schaefer's fixed-point theorem. |
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| ISSN: | 1417-3875 1417-3875 |